Predicting the Large Deflection Path of End-Loaded Tapered Cantilever Beams

2000 ◽  
Author(s):  
Matthew B. Parkinson ◽  
Gregory M. Roach ◽  
Larry L. Howell
Keyword(s):  
Mathematical Model ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Euler Equation ◽  
Large Deflection ◽  
Nonlinear Finite Element ◽  
Cantilever Beams ◽  
Element Analysis ◽  
Moments Of Inertia ◽  
Physical Testing

Abstract A simple (quadratic) mathematical model for predicting the deflection path of both non-tapered and continuously tapered cantilever beams loaded with a vertical end force is presented. It is based on the proposition that the path is a function of the ratio of the endpoints’ moments of inertia. The model is valid for both small and large (the tip makes a 70 degree angle with the horizontal) deflections. This was verified through physical testing, comparison to solution of the Bernoulli-Euler equation, and results obtained through nonlinear finite element analysis. Predicted endpoint deflections were found to be accurate within 1.8% of the actual deflection path for moment of inertia ratios varying from 1:1 to 1000:1.

Simulation Study on Armor-Piercing Effect of Armor-Piercing Bomb

2013 ◽  
Vol 456 ◽  
pp. 55-59
Author(s):  
Ren Bin Zhou ◽  
Xue Bing Liao ◽  
An Qing Ming ◽  
Yong Feng Zhang
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Simulation Study ◽  
Nonlinear Finite Element Analysis ◽  
Nonlinear Finite Element ◽  
Analysis Program ◽  
Element Analysis ◽  
Aluminum Target

Studying the armor-piercing effect of armor-piercing bomb that attacks aluminum target is essential, because the target can be considered the simulation of the actual fight equipment. Based on the hypothesis about building the fraction field, the armor-piercing effect of armor-piercing bomb is analyzed, and the velocity and the intruding depth parameter model of armor-piercing effect are established. Taking a certain armor-piercing bomb as example, the intruding processes of armor-piercing effect are simulated by using the nonlinear finite element analysis program LS-DYNA, while aluminum target simulates the wall of combat equipment in two different conditions. At last, the finite element simulated results are given and analyzed that agree with the experiments.

Evaluation of Compressive Strengths of HPS Plate Systems Stiffened with Trapezoidal Stiffeners

2013 ◽  
Vol 671-674 ◽  
pp. 1025-1028
Author(s):  
Dong Ku Shin ◽  
Kyungsik Kim
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
High Performance ◽  
Nonlinear Finite Element ◽  
Linear Strain ◽  
Element Analysis ◽  
Geometric Imperfections ◽  
Eurocode 3 ◽  
Initial Geometric Imperfections ◽  
Plate System

The ultimate compressive strengths of high performance steel (HPS) plate system stiffened longitudinally by closed stiffeners have been investigated by the nonlinear finite element analysis. Both conventional and high performance steels were considered in models following multi-linear strain hardening constitutive relationships. Initial geometric imperfections and residual stresses were also incorporated in the analysis. Numerical results have been compared to compressive strengths from Eurocode 3 EN 1993-1-5 and FHWA-TS-80-205. It has been found that although use of Eurocode 3 EN 1993-1-5 and FHWA-TS-80-205 may lead to highly conservative design strengths when very large column slenderness parameters are encountered

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